The radius of a smaller circle is half the length of the radius of a larger circle. The area of the larger circle is 20 square inches. What is the
approximate area of the smaller circle?
A 5 square inches
B. 10 square inches
C 12 square inches
D. 15 square inches

A. 5 square inches

Step-by-step explanation:

The formula for the radius of a circle is r = square root of A over π

If you plug in 20 for A you would get 2.52 for r

2.52 divided in 2 is 1.26

To find to area of a circle of a circle with a radius of 1.26 use the formula

A= π(1.26)^2

solve and get

4.99 or 5

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.